{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Using predictive covariates to estimate time trends with DisMod-MR\n",
    "\n",
    "The goal of this document is to demonstrate how DisMod-MR can produce estimates of time trends using predictive covariates.\n",
    "\n",
    "To demonstrate this clearly, I have used simulated data: the true age pattern is linear, and prevalence levels vary over time in a way completely explained by covariates $x_1$ and $x_2$.  $x_1$ is increasing roughly linearly over time, while $x_2$ is changing randomly over time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np, matplotlib.pyplot as plt, pymc as mc, pandas as pd, dismod_mr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(123456)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# range of time for simulation\n",
    "years = np.arange(1990,2011)\n",
    "\n",
    "# covariates that completely explain variation of prevalence over time\n",
    "x_1 = mc.rnormal((years-2000) / 10., .2**-2)\n",
    "x_2 = mc.rnormal(0.*years, .2**-2)\n",
    "\n",
    "# these covariates change roughly linearly over time\n",
    "plt.plot(years, x_1, 's-', color=dismod_mr.plot.colors[1], mec='w', ms=10, label='x_1')\n",
    "plt.plot(years, x_2, 's-', color=dismod_mr.plot.colors[2], mec='w', ms=10, label='x_2')\n",
    "plt.legend(loc=(1.05,.05));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# the percent change over time will be a linear combination of x_1 and x_2\n",
    "plt.plot(years, np.exp(.5 * x_1 - .25 * x_2), 's-', color=dismod_mr.plot.colors[0], mec='w', ms=10, label='pct change')\n",
    "plt.legend(loc=(1.05,.05));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# simulate data\n",
    "n = 100\n",
    "\n",
    "data = dict(age=np.random.randint(0, 10, size=n)*10,\n",
    "            year=np.random.randint(1990, 2010, size=n))\n",
    "data = pd.DataFrame(data)\n",
    "\n",
    "data['x_1'] = x_1[np.array(data.year-1990)]\n",
    "data['x_2'] = x_2[np.array(data.year-1990)]\n",
    "\n",
    "data['value'] = (.1 + .001 * data.age) * np.exp(.5 * data.x_1 - .25 * data.x_2)\n",
    "data['data_type'] = 'p'\n",
    "\n",
    "data['age_start'] = data.age\n",
    "data['age_end'] = data.age+10\n",
    "\n",
    "data['area'] = 'all'\n",
    "data['sex'] = 'total'\n",
    "\n",
    "data['standard_error'] = -99\n",
    "data['upper_ci'] = np.nan\n",
    "data['lower_ci'] = np.nan\n",
    "data['effective_sample_size'] = 1.e8\n",
    "\n",
    "data.value = np.clip(data.value, 0, 1)\n",
    "\n",
    "\n",
    "# build the dismod_mr model\n",
    "dm = dismod_mr.data.ModelData()\n",
    "\n",
    "dm.parameters['p'] = dict(parameter_age_mesh=[0,100], level_bounds={'lower': 0.0, 'upper': 1.0},\n",
    "                          level_value={'age_after': 100, 'age_before': 0, 'value': 0.},\n",
    "                          heterogeneity='Slightly',\n",
    "                          fixed_effects={'x_sex': dict(dist='Constant', mu=0)})\n",
    "\n",
    "# fit and predict full model\n",
    "dm.input_data = data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dm.plot('p')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "using stored FE for beta_p_x_sex x_sex {'dist': 'Constant', 'mu': 0}\n"
     ]
    }
   ],
   "source": [
    "dm.setup_model('p', rate_model='neg_binom')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "finding initial values\n",
      ". . . \n",
      "finding MAP estimate\n",
      "\n",
      "finding step covariances estimate\n",
      "\n",
      "resetting initial values (1)\n",
      ". . . \n",
      "resetting initial values (2)\n",
      "\n",
      "mare: 0.0\n",
      "sampling from posterior\n",
      "\n",
      "CPU times: user 26.8 s, sys: 32 ms, total: 26.9 s\n",
      "Wall time: 26.9 s\n"
     ]
    }
   ],
   "source": [
    "%time dm.fit(how='mcmc', iter=2_000, burn=1_000, thin=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dm.plot('p')\n",
    "plt.grid();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dismod_mr.plot.effects(dm, 'p', figsize=(10,2))\n",
    "plt.xticks(np.arange(-.25,1,.25))\n",
    "plt.grid();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This shows the model is hooked up right... the variation in the data is completely explained by the covariates, and the levels and effect coefficients have been recovered from 100 data points.\n",
    "\n",
    "To use the `dm.predict_for` method, we need to fill in values in `dm.output_template`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>data_type</th>\n",
       "      <th>area</th>\n",
       "      <th>sex</th>\n",
       "      <th>year</th>\n",
       "      <th>pop</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Empty DataFrame\n",
       "Columns: [data_type, area, sex, year, pop]\n",
       "Index: []"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dm.output_template"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "dm.output_template = pd.DataFrame(dict(year=years, x_1=x_1, x_2=x_2))\n",
    "dm.output_template['sex'] = 'total'\n",
    "dm.output_template['pop'] = 1  # pop is important for aggregating multiple areal units, but not relevant for this case\n",
    "dm.output_template['area'] = 'all'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.13197172887746095"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dm.predict_for('p', 'all', 'total', 2_000).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dm.plot()\n",
    "for y in range(1990,2010,2):\n",
    "    color = plt.cm.Spectral((y-1990.)/20.)\n",
    "    plt.plot(dm.predict_for('p', 'all', 'total', y).mean(0), color=color, label=str(y))\n",
    "    dismod_mr.plot.data_bars(dm.input_data[dm.input_data.year == y], color=color, label='')\n",
    "plt.legend(loc=(1.05,.05));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "import importlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'dismod_mr.plot' from '/ihme/homes/abie/projects/2019/dismod_mr/src/dismod_mr/plot.py'>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "importlib.reload(dismod_mr.plot)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To really see how well this is predicting, we can look at the residuals:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "importlib.reload(dismod_mr.plot)\n",
    "\n",
    "dismod_mr.plot.plot_one_ppc(dm, 'p')\n",
    "plt.axis(ymin=-.1, ymax=.1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And the output we are really most interested in is how does the predicted percent change year to year compare to the truth"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# the percent change over time will be a linear combination of x_1 and x_2\n",
    "yy = np.exp(.5 * x_1 - .25 * x_2)\n",
    "yy /= yy[0]\n",
    "plt.plot(years-.05, yy, 's-', color=dismod_mr.plot.colors[0], mec='w', ms=10, label='Truth')\n",
    "plt.title('Change over time')\n",
    "\n",
    "yy = np.array([dm.predict_for('p', 'all', 'total', y).mean() for y in years])\n",
    "yy /= yy[0]\n",
    "plt.plot(years+.05, yy,\n",
    "     's-', color=dismod_mr.plot.colors[1], mec='w', ms=10, label='Predicted')\n",
    "\n",
    "plt.axis(ymin=0)\n",
    "plt.legend(loc=(1.05,.05));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What happy results.  Unfortunately, we never have perfect predictors like this.  If we were forced to make due without x_1 or x_2, what would happen?\n",
    "\n",
    "For starters, we could have _no_ predictive covariates.  In this case, the predictions for every year will have the same mean, and the uncertainty will be blown up to capture all of the unexplained variation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "using stored FE for beta_p_x_sex x_sex {'dist': 'Constant', 'mu': 0}\n",
      "finding initial values\n",
      ". . . \n",
      "finding MAP estimate\n",
      "\n",
      "finding step covariances estimate\n",
      "\n",
      "resetting initial values (1)\n",
      ". . . \n",
      "resetting initial values (2)\n",
      "\n",
      "mare: 0.21\n",
      "sampling from posterior\n",
      "\n",
      "CPU times: user 22.4 s, sys: 4 ms, total: 22.4 s\n",
      "Wall time: 22.5 s\n"
     ]
    }
   ],
   "source": [
    "dm.input_data = dm.input_data.drop(['x_1', 'x_2'], axis=1)\n",
    "dm.setup_model('p', rate_model='neg_binom')\n",
    "%time dm.fit(how='mcmc', iter=2000, burn=1000, thin=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dm.plot()\n",
    "for y in range(1990,2011,2):\n",
    "    plt.plot(dm.predict_for('p', 'all', 'total', y).mean(0), color=plt.cm.Spectral((y-1990.)/20.), label=str(y))\n",
    "    \n",
    "plt.legend(loc=(1.05,.05));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now the residuals show the unexplained variation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dismod_mr.plot.plot_one_ppc(dm, 'p')\n",
    "plt.axis(ymin=-.2, ymax=.2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ivf9Q9n/PknvFOCVXEZ8pwYoksbwrxpHevx9bb74FV1nZrLrczp1suf43pA8YQMerr0pQhCJSHyVYkSRm7dvTeeJEqj//nNLHHm9WXdsffIiar76iyz13Y+3bJyhCEamPEqxIkss+7liyTziekvsfoGbN2ibVUVVUROnDj5BzztlkDT8iwRGKSDRKsCIpoNPtE3ChGrZNnBj3vq6mhi3XXU9ax450vOUWH6ITkWiUYEVSQEa/fuSNH8/Ol16m/J1349p3x5NPUvXpp3SacNu3XxESEf8pwYqkiLwrxpE+oD/b4hjwVLN2Ldt/dw9ZRx1J+zPP8DlCEYmkBCuSIiw7m8533EH1ihWUPjo1pn223nIrVFfT+e7fxf01IRFpHs3kJNIMNRs2tOisSNnHHE32SSdS8sAfaX/66WT07lVv2Z2vvUb5a3+n4003ktG/f7PbFpH46AxWpIkq3n+fdQcezPZ7ft9o2UROOdhpwm3gHNtur3/AU6ikhK0330Lm4MHk/r9LE9a2iMROCVakCVxVFVtvupn0Pn3IvernLdp2Rt++5F31c8pfeYXyf/87apntd99D6Jv1dL73Hiwzs0XjE5EwJViRJih97HGql/2XThMnkBbApA254y4nfcAAtt18K66iYpdtFYXz2PHENDpcfDHtDjywxWMTkTBdgxWJU83atZTc/wBZxx5L9gknBBOEc/T4T/Sv62QVDKF38dfhYrojjkhglGBF4rRt4h246mo6T5wQ2Mhcy86O+S4+IhIMdRGLxKH83ffY+eJL5I2/kowBA4IOR0SSmBKsSIxcZSXbbr6F9P79yLtiXNDhiEiSUxexSIxKH51K9fLldH3ib7objYg0SmewIjGoXr2akgf+SPaJJ5B93LFBhyMiKUAJViQG2yZMBOfoNPH2oEMRkRShBCvSiPK336b81VfJu/oqMvr0CTocEUkRjSZYM3vczNab2aJ6to80s21mNt973Jr4MEWC4Soq2HrTLWTsvTe5l18WdDgikkJiGeT0N2ASMK2BMu86505JSEQiSaTk4Ueo+eoruj79FJaVFXQ4IpJCGk2wzrl3zGyA/6GIJJfqVaso+dOfyD75ZLJHjAg6nF248vIWvYuPiMQvUV/TOczMFgBrgF855xZHK2RmlwGXAfTr1y9BTYs0T31JKKNvX3qvWN5ouSDEGkeyxCvSFiUiwX4C9HfOlZrZaOAFYGC0gs65KcAUgIKCApeAtkWaTdMOiogfmj2K2Dm33TlX6i2/CmSaWbdmRyYiIpLCmp1gzayHeTOem9lQr85Nza1XREQklTXaRWxmM4CRQDczKwZuAzIBnHOPAGcBV5hZNbATGOOcU/evxCXW65vJdB1URKQhsYwiPreR7ZMIf41HWoGgEp2ug4pIa6PJ/mUXSnQiIomhqRKlTSt77vmgQxCRVkoJVtqkUFkZW35xLVuuviboUESklVIXsbQ5VUVFbB73M6pXrCDvF0qwIuIPJdhWqCkDlZxzVH06n3YHH+R3eM3mqquxjPg/us45yp6ewdZbbyWtYye6zZxB1vAjNO2giPhCCbYVimegUsVHH7Hz5Vcpf+01atasCWTwknMO76vUMflm+FHkXn4ZOWN+TFr79jEnvtCGDWz99fVkHXUkXR56kPTu3QFNOygi/lCCbeM2nvEjyMoie8RRdLz+1y3efmj7drb88jq6Pjo55n3S99yTbTffQsn9D9Dh4rF0/MU1Mf9D0fGG35D7syuwNA0/EBF/6a9MEnLl5Qkt15Auf5lEz4Xz6frXx8k560dx7bvztdea1XblokWsHzWa8tdfj2u/7nNm023282QedBAlf7gvrn3zxl+p5CoiLUJnsEmoOd9Fjfc6Yc5pp8UVW6TNl15Gzo/PodPtE0jLy4t5P+ccZU8+xdYJt5PWpQvdnn827uugWUOHkjVtKFVLlzY5fhERPynBprjyf7xF1ZIlVBUVUVW0lOoVK+i9amWT64sn0eVdfRUlf5pExdz36fLQH2n3gx/EeC10I1tvuJGskSPC10K7do05vrr1Zw4aFPO+IiItSQk2xW268CIA0vv2JXPw92l/8uhm1RfPgJ+Ov76OrKOPZsvVV7PxzLPoXfx17NdCr/81uequFZFWTAk2xXV7YRaZ++xDWseOgbSfdUgBe7zxOtsm3B7XfnlX/dyniEREkoMSbIrLOuSQoEMgLTeXLn+4N+gwRESSivrnREREfKAz2FZIMxOJiARPCbYVamszE+kfChFJRuoilpTX1v6hEJHUoDPYJBQq3aEzMhGRFKcz2CTjQiE2/eQC1u5/AKEtWxosq+QqIpK8dAabZMqefY7Kjz+m8333ktalS9DhxEXXQkVE/kdnsEkktHUr2++8i3ZDhpBzzjlBhxM3XQsVEfkfncEmke2/v5fQli10enq6phAUEUlx+iueJCoXLmTHtCfpcNGFtNtv36DDERGRZlKCTQIuFGLrjTeR1q0bHa/7VdDhiIhIAqiLOAmUPT2Dqk/n0+WhBwObtF9ERBKr1Z/BuvLyhJZLtJrNm9n2u7tpd9ihtD/zjEBiEBGRxGv1Z7CWnR3zPUqDsP2u3+FKS+l8528xs0BiEBGRxGv1Z7DJrKJwHmUzZpJ76SVk7rNP0OGIiEgCKcEGxFVXs+3Gm0jr0YO8a38RdDgiIpJgrb6LOFntmPYkVYsXk//Iw6R16BB0OCIikmDmnAuk4YKCAldYWNhouYqqGrIy05tULrRlC1W5HZu8f3PaDmrfINtOxX2DbDsV9w2y7bb4mqMxs3nOuYJGC0rgkv4MNisznUNve73Rch/cfiLOOaqXL6f8H29R/o9/UPlxIb2//irm/ZvTdrLsG2TbqbhvkG2n4r5Btt0WX7OktkYTrJk9DpwCrHfO7RdluwEPAqOBMuAi59wniQ40Ft8cMZyalV8DkDl4MHlX/iyIMERERGI6g/0bMAmYVs/2UcBA7zEMeNj72eIyvvNd8saNI+vYY8no3SuIEERERIAYEqxz7h0zG9BAkdOAaS58MfcDM+tsZj2dc2sTFGPMbjnmSqgB3igGigF4eOzQmPe/4vEPIeK7qHHt+9ePdnke1L5Btp2K+wbZdiruG2TbbeE1S+uSiK/p9AYiZ2ko9tbtxswuM7NCMyvcsGFDAppOrOr/fg6hUNBhiIhIK5CIQU7Rph+KOjTZOTcFmALhUcQJaHsXzf1PccKTN9Du0GF0fWwqaZ07t1jbQe0bZNupuG+QbafivkG2naqvWVqXRJzBFgORcxH2AdYkoN4W1+Uvk6ic9wkbzvwR1atT8iWIiEiSSESCfRH4qYUdCmwL4vprIuScdhrdnnqSmjVr2XDqaU2qo2bjRrbf+4cERyYiIqmm0QRrZjOA94F9zKzYzC4xs3FmNs4r8irwBbAceBRI6e/GZA0/gu7PPwcuvmux1StXsvXGm1g37FBKHnzIp+hERCRVtOqZnJqzf3VxMTV79ox534177w0ZGeT86Exyx11OqP9ebW7WmVTcN8i2U3HfINtui685Gs3klDqSPsEGLdZb3W278y5yL7mY9B494t5XRCRWSrCpI+mnSkwVnW66cZfnrrw8puTpysux7Gy/whIRkYDodnU+iTVpKrmKiLROSrAiIiI+UIIVERHxgRKsiIiID5RgRUREfKAEKyIi4gN9TacB+qqNiIg0lc5gG6Cv2oiISFMpwYqIiPhACVZERMQHSrAiIiI+UIIVERHxgRKsiIiID5RgRUREfKAEKyIi4gMlWBERER8owYqIiPhACVZERMQHSrAiIiI+UIIVERHxgRKsiIiID5RgRUREfKAEKyIi4gMlWBERER8owYqIiPhACVZERMQHSrAiIiI+UIIVERHxgRKsiIiIDzJiKWRmJwEPAunAVOfc3XW2XwTcC6z2Vk1yzk1NYJwiIpIg8+bN2yMjI2MqsB860WqqELCourr60iFDhqyPVqDRBGtm6cCfgeOBYuBjM3vRObekTtFnnHPjmxuxiIj4KyMjY2qPHj2+37179y1paWku6HhSUSgUsg0bNgxet27dVODUaGVi+c9lKLDcOfeFc64SmAmclsA4RUSkZe3XvXv37UquTZeWlua6d+++jXAvQFSxdBH3BlZFPC8GhkUp9yMzOwr4L/AL59yqugXM7DLgMoB+/frF0LSIiPggrbHk6srLD7Ds7EZzhCsvr7bs7AWJCy11eMew3hPVWBKsRVlX9415CZjhnKsws3HAE8Axu+3k3BRgCkBBQYH+cxIRSVKWnZ2xunffRsv1Xr0qprE8bVEsXcTFQORR7gOsiSzgnNvknKvwnj4KDElMeCIi0tqsW7cufdCgQYMHDRo0uFu3bgfsscceP6h9Xl5eHu2kbjdPPPFE508//TS79vmQIUP2mTt3bnv/oo5fLP95fAwMNLO9CI8SHgOcF1nAzHo659Z6T08FihIapYiItBo9evSoWbp06RKAa6+9tldubm7NxIkTv4ksEwqFcM6Rnp4etY5Zs2Z1SUtL23LQQQeVt0DITdJ4/7pz1WY2Hnid8Nd0HnfOLTaziUChc+5F4CozOxWoBjYDF/kYs4iIJMiWa3/Zt2rZspy66/d45eWY61h/8in7RD7P3Gefsi7337fbOJzGLFq0KOuMM8747iGHHFLy6aef5s6ZM2f5kCFDBpeUlMwHmDJlSpe33nqr49ixYze9/fbbnQoLC3PvvPPOXnPmzFkO8NRTT+VffvnlHUtKStIfffTRL48//vgd8caQSDH1nTvnXgVerbPu1ojlG4AbEhuaiIi0NStWrMieOnXqlyNGjPi6qqoqapmTTjqpdOTIkdvOOuusLRdccMHW2vXOOT777LOi6dOnd5o4cWKv448//vMWCzwKXZwWEWnDGjjTjHkszR6vvLwsQeHQt2/fihEjRpQ1Zd+zzz57K8Dhhx9edvPNN7dLVExNpRk8REQkabRv3z5Uu5yWtmuKKi8vbzBnZWdnhwDS09NdTU1NTIOl/KQEKyIiSSk9PZ2OHTvWfPbZZ1k1NTXMmTOnc+223Nzcmu3btyd1Dkvq4EREpG2bMGFC8ejRowcefvjh3+vVq9e3F2V/8pOfbL7vvvt6Dho0aPCyZcsC7w6OxpwLZr6HgoICV1hYGEjbIiKpyszmOecKmlPHggULvjrggAM2NlRGMznFZsGCBd0OOOCAAdG2aZCTiIjsJtakadnZjRdqo9RFLCIi4gMlWBERER8owYqIiPhA12BFRGQ3FVU1B2RlpjeaIyqqaqqzMtPb7CCnhijBiojIbrIy0zMOve31Rst9cPuJyiP1UBexiIi0uPT09CGDBg0aPHDgwH1HjRq1d0lJSZPz0csvv5x39NFHfxdg+vTpnW688cYe9ZXduHFj+t1339093jauvfbaXrfeeuue8eyjBCsiIi0uKysrtHTp0iWff/754szMTHffffftkvRCoRA1NTVx13v++edvu+uuu9bVt33Tpk3pjz322B5NCDluOrUXEWnDfvvCor4r1pfsdru6v152WMx1jJ3y/i63q/vOHnllN5++X8y3qxs+fHjpwoUL2y9btqzdqFGjBh5++OEl8+bNy50zZ87yRYsWZU+cOLFXZWWl9e/fv2LmzJlfderUKfTcc891vO666/rm5+dX77///t/eHOChhx7qWlhY2GHatGlfr1q1KuPiiy/u//XXX2cBTJo0aeWDDz6456pVq7IGDRo0eMSIEdsnT55cfMstt+w5e/bs/MrKSjv55JO3PvDAA2sArr/++h7PPPNMt169elV27dq16qCDDorrJgQ6gxURkcBUVVXx+uuvd9x///13Anz11VfZY8eO3VRUVLQkLy8vdNddd/V85513/rtkyZKigw8+uOyOO+7Ys6yszMaPHz/gxRdfXP7xxx8vW79+fWa0useNG9fvyCOPLFm2bNmSxYsXLzn44IPL77vvvuK+fftWLF26dMnkyZOLZ82a1XH58uXZCxcuLCoqKloyf/78nNdeey333XffzZk9e3b+Z599tuTll19evmDBgg7xvjadwYqItGENnGnGfLu6v152WNy3q6uoqEgbNGjQYIBhw4aVXH311RtXrlyZ2bNnz8pjjz12B8Dbb7/dYcWKFdlDhw4dBFBVVQ0FqqsAAAqGSURBVGVDhgwpnT9/fnafPn0q9t9//wqA888/f9PUqVN3u646d+7cvOeee+5LgIyMDLp27VqzcePG9Mgyf//73zu+8847HQcPHjwYoKysLG3p0qXZJSUlaaNHj96al5cXAjjhhBO21q2/MUqwIiLS4mqvwdZdn5OT8+3t6pxzDB8+fPtLL730ZWSZuXPntjdLzN3onHNcc801a6+77rpd5maeOHHiHs1tQ13EIiKSlEaOHLmjsLAwd9GiRVkAJSUlaQsXLsw68MADy4uLi9stXrw4C2DmzJn50fY/4ogjSu69997uANXV1WzevDmtU6dONTt27Pg2940aNWr7k08+2W3btm1pAF9++WXm6tWrM4455pjSV155pXNpaalt2bIl7c033+wcrY2G6AxWRESSUq9evaonT5781ZgxY/aurKw0gNtuu231D37wg4o//elPK0855ZTv5ufnVw8bNqy0qKiofd39H3744a8vuuii/t/73ve6paWlMWnSpJXHHXfcjiFDhpQOHDhw32OOOWbb5MmTixcvXpx9yCGHDILwGfT06dO/HD58eNkZZ5yxeb/99tu3d+/eFUOHDi2NN37drk5EJIW01O3qNJNTbHS7OhERiUusSTMrM73xQm2UrsGKiIj4QAlWRKTtCYVCocQMw23DvGMYqm+7EqyISNuzaMOGDZ2UZJsuFArZhg0bOgGL6iuja7AiIm1MdXX1pevWrZu6bt26/dCJVlOFgEXV1dWX1ldACVZEpI0ZMmTIeuDUoONo7fSfi4iIiA+UYEVERHygBCsiIuIDJVgREREfKMGKiIj4QAlWRETEBzElWDM7ycyWmdlyM/tNlO1ZZvaMt/1DMxuQ6EBFRERSSaMJ1szSgT8Do4DBwLlmNrhOsUuALc657wIPAPckOlAREZFUEssZ7FBguXPuC+dcJTATOK1OmdOAJ7zl54BjLVG3mxcREUlBsczk1BtYFfG8GBhWXxnnXLWZbQO6Arvcb9DMLgMu856WmtmypgQNdKtbd5JI1rggeWNTXPFRXPFpjXH1T2Qg4p9YEmy0M9G6d2mPpQzOuSnAlBjabDggs8Lm3nDYD8kaFyRvbIorPoorPopLghRLF3Ex0DfieR9gTX1lzCwD6ARsTkSAIiIiqSiWBPsxMNDM9jKzdsAY4MU6ZV4ELvSWzwL+6Zzb7QxWRESkrWi0i9i7pjoeeB1IBx53zi02s4lAoXPuReAx4EkzW074zHWMn0GTgG5mnyRrXJC8sSmu+Ciu+CguCYzpRFNERCTxNJOTiIiID5RgRUREfBBIgjWzx81svZktilh3gJm9b2afmdlLZtbRW9/OzP7qrV9gZiMj9hnirV9uZg9Fm9zCwh7yyiw0s4P9jMvMcszsFTNbamaLzezuetoaYGY7zWy+93ikBY7X296Ul7Vt7lFPezd4x2uZmZ3o8/HKi4hnvpltNLM/NvN49TWzf5lZkfceXO2tzzezN83sc+9nF299vZ8RM7vQK/+5mV1YT3tR6/UrLjM70DvGi731P66nvYvMbEPEMbu0BY5XTUR7dQdD1paJaWrVBB6vo+t8xsrN7PQWPF6DvPerwsx+VaeuBqehjed4SRJyzrX4AzgKOBhYFLHuY2CEt3wxcIe3fCXwV295D2AekOY9/wg4jPD3cF8DRkVpa7S3zYBDgQ/9jAvIAY721rcD3q0nrgGR7bTQ8XobKGikrcHAAiAL2AtYAaT7GVedOucBRzXzePUEDvaW84D/eq/r98BvvPW/Ae5p6DMC5ANfeD+7eMtdorQXtV4f4/oeMNBb7gWsBTpHae8iYFJLHS9vW2kM7f0MeMRbHgM843dcEXXmEx6ImdOCx2sP4BDgTuBXEfWkE/792pvw34oFwOCmHi89ku8RXMN1/mAC2/nfoKu+wBJv+c/ATyLKvUV4+saewNKI9ecCk6O0Mxk4N+L5MqCnX3FFqe9B4P811o7fx8tbfpvGE+wNwA0Rz18HDmuJ4wUMJDwjmDX3eNXZdw5wfOR7731+ljX0Gan7mapbLtpnKrJev+KKUs8CvIRbZ/1FxJAwEhkXsSXYbz9ThL/JsDHae+7H8SI8k9z0eur35XhFlJvArgn2MOD1iOe7/O4193jpEfwjma7BLgJO9ZbP5n+TWywATjOzDDPbCxjibetNeIKLWsXeurqiTfUYrVyi4vqWmXUGfkg4mUSzl5l9amb/NrMj44ipOXH91ev+usUs6nzRgR0vwgntGef9JYki7uPldacdBHwI7OmcWwvg/aztIq/vNcd6LOqr16+4IusZSvjsZ0U9Tf3I6y59zszqHm8/4so2s0Iz+yBaN2zd/Z1z1UDt1Kp+xlVrDDCjgab8OF71ifXzFffxkuSQTAn2YuBKM5tHuNul0lv/OOEPXiHwR2AuUE2M0zPGUS5RcYUbDc9oNQN4yDn3RZR61wL9nHMHAdcCT5t3vdLHuM53zu0PHOk9LohSbyDHy9PQH7+4j5eZ5QLPA9c457Y3VDTKOtfA+mZJQFy19fQEngTGOudCUcq+BAxwzv0A+Af/uyGHn3H1c+EpAM8D/mhm34lzf7/iqj1e+xM+I4zGr+PVpHibUE6STCxzEbcI59xS4AQAM/secLK3vhr4RW05M5sLfA5sITxtY61oUzhCbFM9JjKuWlOAz51zuw3Y8favACq85XlmtoLwtbVCv+Jyzq32fpaY2dOEu9qn1ak6kONlZgcAGc65efXUG9fxMrNMwn/8pjvnZnmrvzGzns65td4f2/WNvOZiYGSd9W9Haa6+ev2KC++fi1eAm51zH0Rryzm3KeLpozRwG8lExeWcq/35hZm9Tfjsru7Zde3+xdbI1KqJistzDjDbOVcVrS0fj1d9Yv1di/l4SXJJmjNY80a0mlkacDPwiPc8x8w6eMvHA9XOuSVeF0yJmR3qdXX+lPC1kLpeBH5qYYcC22q7cfyIy3v+W8K/BNc0UG93C99rFzPbm/D1x2hnugmJy+ua7eatzwROIdydW9eLwBhv5OJeXlwf+RVXxK7n0kDXXTzHy/s8PAYUOefur/PaLvSWL+R/n5f6PiOvAyeYWRcLjwg9gehnP/XV60tcFp6ydDYwzTn3bLS2vPZ6Rjw9FSjyOa4uZpbl1dkNOAKIfI+j1Vvv1KoJfB9rNfYZ8+t41SeWaWjr1qupaFNJEBd+CX/I1wJVhP87uwS4mvBovP8Cd/O/gTIDCA8eKCLcbdM/op4CwkliBTApYp9xwDhv2QgPsFkBfEYDg3wSERfh/0Kdt36+97jU23YqMNFb/hGwmPC1yU+AH/ocVwfCI3QXeu0+iDc6ODIu7/lN3vFaRpQR0Il+H73tXwCD6qxr6vEa7r0HCyPeg9GEr1u9RfjM+S0gv7HPCOEu7+XeY2zE+qm15eqr16+4gJ94x3x+xONAb9tE4FRv+XcRx+xfdY+vD3Ed7j1f4P28JKKNyLiygWe9Y/oRsHcLvI8DgNXUGbneQserB+Hfj+3AVm+5o7dtNOHflRXATc05Xnok30NTJYqIiPggabqIRUREWhMlWBERER8owYqIiPhACVZERMQHSrAiIiI+UIIVERHxgRKsiIiID/4/kifmWGkEav4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# the percent change over time will be a linear combination of x_1 and x_2\n",
    "yy = np.exp(.5 * x_1 - .25 * x_2)\n",
    "yy /= yy[0]\n",
    "plt.plot(years, yy, 's-', color=dismod_mr.plot.colors[0], mec='w', ms=10, label='Truth')\n",
    "plt.title('Change over time')\n",
    "\n",
    "yy = np.array([dm.predict_for('p', 'all', 'total', y).mean() for y in years])\n",
    "yy /= yy[0]\n",
    "plt.plot(years, yy,\n",
    "     's-', color=dismod_mr.plot.colors[1], mec='w', ms=10, label='Predicted')\n",
    "\n",
    "plt.axis(ymin=0)\n",
    "plt.legend(loc=(1.05,.05));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Noting that the values are correlated with time, we could use time as a predictive covariate (appropriately normalized).  This would not be perfect, but it would work pretty well in this case."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "using stored FE for beta_p_x_sex x_sex {'dist': 'Constant', 'mu': 0}\n",
      "finding initial values\n",
      ". . . \n",
      "finding MAP estimate\n",
      "\n",
      "finding step covariances estimate\n",
      "\n",
      "resetting initial values (1)\n",
      ". . . \n",
      "resetting initial values (2)\n",
      "\n",
      "mare: 0.07\n",
      "sampling from posterior\n",
      "\n",
      "CPU times: user 26.9 s, sys: 24 ms, total: 26.9 s\n",
      "Wall time: 26.9 s\n"
     ]
    }
   ],
   "source": [
    "dm.input_data['x_year'] = (data.year-2000.) / 10.\n",
    "dm.output_template['x_year'] = (years-2000.) / 10.\n",
    "\n",
    "dm.setup_model('p', rate_model='neg_binom')\n",
    "%time dm.fit(how='mcmc', iter=2000, burn=1000, thin=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dm.plot()\n",
    "for y in range(1990,2011,2):\n",
    "    plt.plot(dm.predict_for('p', 'all', 'total', y).mean(0), color=plt.cm.Spectral((y-1990.)/20.), label=str(y))\n",
    "    \n",
    "plt.legend(loc=(1.05,.05));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this case, the residuals are smaller, but not infinitesimal as in the original fit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dismod_mr.plot.plot_one_ppc(dm, 'p')\n",
    "plt.axis(ymin=-.1, ymax=.1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# the percent change over time will be a linear combination of x_1 and x_2\n",
    "yy = np.exp(.5 * x_1 - .25 * x_2)\n",
    "yy /= yy[0]\n",
    "plt.plot(years, yy, 's-', color=dismod_mr.plot.colors[0], mec='w', ms=10, label='Truth')\n",
    "plt.title('Change over time')\n",
    "\n",
    "yy = np.array([dm.predict_for('p', 'all', 'total', y).mean() for y in years])\n",
    "yy /= yy[0]\n",
    "plt.plot(years, yy,\n",
    "     's-', color=dismod_mr.plot.colors[1], mec='w', ms=10, label='Predicted')\n",
    "\n",
    "plt.axis(ymin=0)\n",
    "plt.legend(loc=(1.05,.05));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we had only `x_1`, we could use that as the predictive covariate, and it would work slightly better."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "using stored FE for beta_p_x_sex x_sex {'dist': 'Constant', 'mu': 0}\n",
      "finding initial values\n",
      ". . . \n",
      "finding MAP estimate\n",
      "\n",
      "finding step covariances estimate\n",
      "\n",
      "resetting initial values (1)\n",
      ". . . \n",
      "resetting initial values (2)\n",
      "\n",
      "mare: 0.04\n",
      "sampling from posterior\n",
      "\n",
      "CPU times: user 26.7 s, sys: 4 ms, total: 26.7 s\n",
      "Wall time: 26.8 s\n"
     ]
    }
   ],
   "source": [
    "dm.input_data = dm.input_data.drop(['x_year'], axis=1)\n",
    "dm.input_data['x_1'] = x_1[np.array(data.year-1990)]\n",
    "\n",
    "dm.setup_model('p', rate_model='neg_binom')\n",
    "%time dm.fit(how='mcmc', iter=2000, burn=1000, thin=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dm.plot()\n",
    "for y in range(1990,2011,2):\n",
    "    plt.plot(dm.predict_for('p', 'all', 'total', y).mean(0), color=plt.cm.Spectral((y-1990.)/20.), label=str(y))\n",
    "    \n",
    "plt.legend(loc=(1.05,.05));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dismod_mr.plot.plot_one_ppc(dm, 'p')\n",
    "plt.axis(ymin=-.1, ymax=.1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# the percent change over time will be a linear combination of x_1 and x_2\n",
    "yy = np.exp(.5 * x_1 - .25 * x_2)\n",
    "yy /= yy[0]\n",
    "plt.plot(years, yy, 's-', color=dismod_mr.plot.colors[0], mec='w', ms=10, label='Truth')\n",
    "plt.title('Change over time')\n",
    "\n",
    "yy = np.array([dm.predict_for('p', 'all', 'total', y).mean() for y in years])\n",
    "yy /= yy[0]\n",
    "plt.plot(years, yy,\n",
    "     's-', color=dismod_mr.plot.colors[1], mec='w', ms=10, label='Predicted')\n",
    "\n",
    "plt.axis(ymin=0)\n",
    "plt.legend(loc=(1.05,.05));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We could also use x_1 and year together, which isn't really to our advantage in this case."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "using stored FE for beta_p_x_sex x_sex {'dist': 'Constant', 'mu': 0}\n",
      "finding initial values\n",
      ". . . \n",
      "finding MAP estimate\n",
      "\n",
      "finding step covariances estimate\n",
      "\n",
      "resetting initial values (1)\n",
      ". . . \n",
      "resetting initial values (2)\n",
      "\n",
      "mare: 0.04\n",
      "sampling from posterior\n",
      "\n",
      "CPU times: user 26.4 s, sys: 8 ms, total: 26.4 s\n",
      "Wall time: 26.4 s\n"
     ]
    }
   ],
   "source": [
    "dm.input_data['x_year'] = (data.year-2000.) / 10.\n",
    "\n",
    "dm.setup_model('p', rate_model='neg_binom')\n",
    "%time dm.fit(how='mcmc', iter=2000, burn=1000, thin=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dm.plot()\n",
    "for y in range(1990,2011,2):\n",
    "    plt.plot(dm.predict_for('p', 'all', 'total', y).mean(0), color=plt.cm.Spectral((y-1990.)/20.), label=str(y))\n",
    "    \n",
    "plt.legend(loc=(1.05,.05));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dismod_mr.plot.plot_one_ppc(dm, 'p')\n",
    "plt.axis(ymin=-.1, ymax=.1);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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EdQ7WzLoDhwKfV9qUBQT+u5rPL5MwZjbazHLNLHfjxo3hRSoiMeNKS3nulvGsTkjjhhE5JFeUxTokkbgX8m06ZpYOvAxc55zbUXlzkF1+8RQB59wEYAL4J/sPI04RiRFXVMS3V9/IlPbDObLZTgZkZ2BBhn+D7Rfs2a8iTUVIPVgzS8afXCc752YEKZIPBD7ksQuwpu7hiUgsVezcyaYLL2JCUUcqmqVw429Hhpw0lVylqasxwXpXCD8N5DnnHq6i2Gzg1+Y3ANjunFsbwThFpJ5VbN3KplHnMm/lVv67Tz8uGrIvnVulxjoskQYjlCHiI4ELgQVm9rW37hagK4Bz7gngDfy36CzDf5vOJZEPVaRxCXUINRZDreXr17PpvPMp+uFHnv3NY3T2pXL+kXvVawwiDV2NCdY59zHBz7EGlnHAVZEKSqQpKElMJpR5jkItF6pQEnZihw60ef45pnzwHSu/K+GB03Lw6cpekbBoLmKRGInVw8fN52N1VnaN5VKWLOPZH5cwsEdbjurZLqIxiDQFmipRRIJ6/J1vKS2r4LoROfgvxRCRcCjBitRBcWl5RMvFi7wO+zJn/hrOG7gXXds0j3U4Ig2ShohF6iBWw7zRVG4JPDXwfDpk+rj4aF3YJFJbSrAi9WTp2h3krd7OkjU7yFuzg+fHHBHrkIJ6a//BrGyTzb3H9yS1mf5EiNSWfntE6slFT3wKQLovif2alcY4muC2+zKY2uc0Dlq9mGN6DY91OCINmhKsSD25+8yD6Nm6GenjHmD35JfgxpqnG4yG4tLyoE+6Af8E4u8FlNOk+yK1pwQrUk8G22a2nns1u1esIP3q8G4bv3fWQq49IYfmKXX/lW2M541F4pESrEg92XjyqSS0bkXbqVNIGXRkWPu++tVqcr/fwu2n9+aQbq2iFKGIRJISrEg98R0zhJZ//SuJrf0JMuSHjxeX8o9L+jF25gKufHYuFxy5F5cP2Sek4VsN84rEjhKsSD1p/fTEn03YUFPiK1u5kvXHDCX1hOM55O+P88KVAxn35hJe+Ph7rhq2n4Z5ReKcJpoQqSfhzoaU1K0bGVdfxe5Zsyn++L80T0nillMP5MHzDg27becca7YWMmf6B2HvKyK1ox6sSB1sLywJbZi3lkO1GVeOoXD6dLbdehvt334Ta9aMo3q2D6uO61+cR97q7Wwr9N8aNOLMsMMQkVpQghWppY07ijhn/Mfst2w+t771SLWPnKrqtpiaWGoqLceOZfNFF7Pz6WfIuHJM2HVs2F7EoJ7t2WvhZ2T/8znQsLFIvdAQsUgtPfb2UkrLKrjs05eqf55jHfmOG4pv+DAKHv4b5WvWhr3/5KuO5A89Exny1D30HtovChGKSDBKsCK1kLtiM28vWMevB+1N5x0bot5e5l134irK2T52bNj7uvJytt70BxJatKDFbbdFIToRCUZDxCJhKi2r4MHX8+jcKpULj9qLzfXQZlLXrmRcfTUFf32IovPOw3f0USHvu+uFFyj96itaPTqOxNatQr89SLf4iNSJerAiYZry6Q+s3LSLG0fuj68eE1DGlWNI7N6N7beG1wvd8Zf7STn6KFLPOB2o+fagPZRcRepGCVYkDOu27eaZ/6zg6Jz2HLlfu3pt23w+Wt59N2XLl4e3Y1kZLe/7ix6aLlLPNEQsEoZH3lyCw3H9iBwAyjduDOkKYVdUhPl8dW7fd+wx+E44nt1r14c0zLt7zToybryBpG7d6ty2iIRHPViREH3y3UY+yNvAJUfvQ6eWqRR/+inrDjmMHfc/UOO+kUiue2TeeQdbBw1i8+iqb9mpKChgbZ++FFx0Eem/uTxibYtI6JRgRUJQXFrOw2/k0bVNGucN7I4rLWXbn24lsUsX0q/5Xb3GkpSdTcY1v6Po9dcp+s9/gpbZcd/9VKzfQMsH78eSk+s1PhHxU4IVCcELH39P/pbd/P7EXjRLSmDn089QtvRbMsfeSUJqar3Hkz7mChK7d2f7rbfjiot/tq04dx67np9E80svpdkhh9R7bCLip3OwIjXI31LIpI+/Z+gBHem3TxvK166l4OG/kTJ0KL7hw2MTlHN0/O9HQTel9O1DVv6P/mIROvcrIuFTghWphnOOh9/IIynBuPaEngBsH3s3rqyMlmPvjNmVuebzsToru8ZytZ2iUUTqTkPEItX4cMkGPvluE5cfsy/tW/go+uhjds9+lYyrryKpe/dYhycicUwJVqQKu0vK+NucJezTPp2z+3fFlZSw/dbbSOzWtVaT7otI06IhYmnyqpoSMLVZEq/cMPin90U7iylbtow2zz+HxeDCJhFpWJRgpclLSU5kwB1v1Vjus7uOx3f8cHzHDa2HqESkodMQsUgYMsfeFesQRKSBUIIVCUNSly6xDkFEGogaE6yZPWNmG8xsYRXbh5jZdjP72nvdHvkwRUREGpZQzsE+B4wHJlVT5iPn3EkRiUhERKQRqDHBOuc+NLPu0Q9FRELliorq9Sk+IhK+SJ2DPcLM5pvZHDM7oKpCZjbazHLNLHfjxo0Ralqk6Qk1aSq5isROJBLsl0A359zBwGPAK1UVdM5NcM71dc71bdeufh9WLSIiUp/qnGCdczucczu95TeAZDNrW+fIREREGrA6TzRhZh2B9c45Z2b98CftzXWOTKQefPnDFjplpvLZXcfXWLaqGZ9ERIKpMcGa2RRgCNDWzPKBO4BkAOfcE8CZwJVmVgbsBkY551zUIpZGKdSLcSJ50c72whLufHkBKckJ/OWhS0gtK662vJ5MIyLhCOUq4nNr2D4e/2080gjEItFB/T9+zTnHfa8uZvPOYiZe3p/U+6tPriIi4dJcxPIzTeU5o69+uZp/L17PVcP2Y/+sTFbHOiARaXQ0VaI0OSs37eLhOUvou1drTl/7ZazDEZFGSj1YiQvFpeUh9YrreqFRaVkFt0//hmaJxrXfzGD7tBdJP+tXta5PRKQqSrASF8J5ZFxdPPH+dyxdu4ObF75M2udvknH9dXWqT0SkKkqwjVBtLlRyzlH61de43gfVS0+yLlxZGZYU/kf382WbmPzfHxj+7Uf0WzGP1lOnkDLoSE07KCJRoQQbh0JNXlWVC+dCpeK5c9n92hsUzZlD+Zo1ZK1eVS89yUDOOcws5PLrBx1N+hWjSRt1DgmpqSElvm27Shj78ny6bF3DaFtJ+7ffJNGbTUzTDopINCjBxqH6Gi4F2HT6ryAlBd/go2nxh/+rc33hqtixg6033kSbp54MeZ/EDh3YfuttFDz8N5pfegktrr+u2n8oHHD/sKvYsfdh/HnvMrIeeR5L0PV9IhJdSrBNXKu/j8c3dCgJ6elh77t7zhxSR4yoddslCxey5YoxlK/KD2u/drNmUjx3LgXj/07BXx+iRQ3nUd/afwhfdDuU64btx6FHDK91vCIi4VCCbWTCPU+YduqptW5ry+WjSTvnbDLvupOEjIyQ93POUfjCi2y78y4SWrWi9fR/htVucWk5Kf36kTKpH6VLltR4BfJl3qu4tDysdkRE6kIJtoErevc9ShcvpjQvj9K8JZQtX07WqpX10nbGtddQ8Nh4ij/5lFaPPgKH9gnp3HFJSRnbbr6FhCHHMPeKPzF17kam9Au93ZMf+oDhvTtz8mFZ9MzJAaj388YiIjVRgm3gNl90MQCJ2dkk99qf1BNH1rqucK8MzvvVJRw4eAgF11/HpjPOJCv/x5AT3RvX/IVZCVlseu8HenQMvfcLMGDftsz+Mp/pc39kv04ZTBozMKz9RUTqgxJsA5fx8suk98ohoUWLWtdRUlbB7C/zef7DFbz6+yEh73ftpHm0TEvm6BsfZ8Dnc8gKo82nC9vRb58MbjujO/32bhNWvGPPPJjthSW8s2Adr36lSQ5FJD4pwTZwoz7axVnFGznjcB+Zac2A8GZFmjN/Dc99uIJ124s4qGvLsNq+f9QhvLdoPe8u2cDs1MP4LIx9J405gv06/e+fguLS8rAeGZeZ1owz+3flzP5dw4pZRKS+KME2cPt1bMGT7y9j0sffc/KhWYw6ojudW6WGPFR736uLOaBLJjefcgD99gmvJzl4/w4M3r8DRaXlfLZsU3hxd/p5jzvUoWk9j1VEGgol2AbukQv7sGx9AS/99wde/mIVL3+xiv/eEfqtKA+dfxgDe7T9aaKHcHuSAL7kRIbs36F234CISCOlBBuHCovLwkpy+3bI4PYzenPF0H2Z9tmPYbV15H7tfvZePUkRkchQgo0z5RWOa1+Yxw/frWLc9NvJLCqosmzl86wdMlO55vie0Q5RRERCoAQbZ6bP/ZEFq7Zxx3kD6XX/4mrLavJ5EZH4pQQbR9Zs3c0/3v2WPjt+5OAL/o+KDz8goVWrKssrufrV5ryxiEi0KcHGCecc97+6CCsv5zevjydz7M3VJtd4FKtEp/PGIhKP9EiROPHG/DV8vnwzF3w5i6ycvUg7++xYhxQ2JToRkf9RDzYObN5ZzLg3l9CrYjvDv5xD5pzX9Tg1EZEGTgk2Djz8Rh67i8u4YsZfybj41zQ78IA61adzkiIisaduUoz9J2897y1azzmrPqVrchktbvp9nevUUK2ISOypBxtDBbtLefD1PPZpVsbJbz5H5riH6zRpv4iIxI9G34N1RUURLRdJj729lC07ixnzxmOkDTic1DNOr/cYREQkOhp9D9Z8PlZnZddYLpSnz0RS7orNzP5yNWeW/MDe+Utp+cybP80HLCIiDV+j78HGo6KScv4yexFZzRM4Y/L9pF9+Gck9NcWhiEhjogQbAxP+vYzVW3fz27nTSG3Xhowbro91SCIiEmGNfog4Vqq7Beaa43t6k/IfT9HOQhKap9VvcCIiEnVxn2BDvVczWLmKrVtjNt1gSnJiyA89FxGRxifuE2w4ico5R9myZRS9+x5F775LyRe5tF2+PKQLmDTpgoiIRFKNCdbMngFOAjY45w4Mst2AccBIoBC42Dn3ZaQDDcX6IwdRvtL/wPHkXr3IuOq36kmKiEhMhNKDfQ4YD0yqYvsIoIf36g/8w/ta75L22ZeMMWNIGTqUpKzOsQhBREQECCHBOuc+NLPu1RQ5FZjknHPAZ2bW0sw6OefWRijGkD036o9kpiWTuaqUzM1ryExrxoB924a8vysvxxLrPkxcUeFISNA9rSIiTVkkzsFmAYEnOfO9db9IsGY2GhgN0LVr1wg0/XNvfbOGgqKyn60LZ+h3y5VX0frRR356kHm4F1gV7C7lta9WM33uj7x83dHhBS8iIo1KJBJssK6aC1bQOTcBmADQt2/foGXq4p2bh1JWXsHOojK27y5le2FJWPtvfftdKs6/gDZPTyShZcuwzt8+8Npi5sxfw+6Scg7q2rK234KIiDQSkUiw+UDgXIRdgDURqLdWkhITaNm8GS2bNwOah7XvxRePp+eabznsmgc45sbL6HXwPiHv+9pXqxl2YEfO6t+NnM6asF9EpKmLxExOs4Ffm98AYHsszr9GwqiBe1HcY39e2Gswl85YFta+s24YzG2n96ZHsxJ2PPjXKEUoIiINRSi36UwBhgBtzSwfuANIBnDOPQG8gf8WnWX4b9O5JFrBRtvVw3ty9fCerMtdwPtjxwGhn7/N2LSWbfdMYNe0aVBcQsp11+uh5yIiTVgoVxGfW8N2B1wVsYgqKS4tr/dE1bFvb87++51h7bN+0NGQlETar84gfcwVJCcnxuVTfEREpH40iJmc6lKutgk6qUuX0AL0pI+5gvTLLiWxY8ew9hMRkcYp7hNsXdU1QYcq80+3/Oy9KyoKqXfqiop+ui1IREQaDz2uLkpCTZpKriIijZMSrIiISBQ0+iHiuojFBVYiItI4KMFWI0VXAouISC1piFhERCQKlGBFRESiQEPE1dCtNiIiUlvqwVZDt9qIiEhtKcGKiIhEgRKsiIhIFCjBioiIRIESrIiISBQowYqIiESBEqyIiEgUKMGKiIhEgRKsiIhIFCjBioiIRIESrIiISBQowYqIiESBEqyIiEgUKMGKiIhEgRKsiIhIFCjBioiIRIESrIiISBQowYqIiESBEqyIiEgUKMGKiIhEgRKsiIhIFCjBioiIREFSKIXM7ARgHJAITHTO3Vdp+8XAg8Bqb9V454NzTb4AABEDSURBVNzECMYpIiIRMm/evPZJSUkTgQNRR6u2KoCFZWVll/fp02dDsAI1JlgzSwQeB4YB+cAXZjbbObe4UtFpzrmr6xqxiIhEV1JS0sSOHTvu365du60JCQku1vE0RBUVFbZx48Ze69atmwicEqxMKP+59AOWOedWOOdKgKnAqRGMU0RE6teB7dq126HkWnsJCQmuXbt22/GPAgQVyhBxFrAq4H0+0D9IuV+Z2dHAt8D1zrlVlQuY2WhgNEDXrl1DaFpERKIgoabk6oqKDjafr8Yc4YqKysznmx+50BoO7xhW2VENJcFakHWVfzCvAlOcc8VmNgZ4Hjj2Fzs5NwGYANC3b1/95yQiEqfM50tanZVdY7ms1atCupanKQpliDgfCDzKXYA1gQWcc5udc8Xe26eAPpEJT0REGpt169Yl5uTk9MrJyenVtm3bg9u3b3/QnvdFRUXBOnW/8Pzzz7f86quvfHve9+nTp+cnn3ySGr2owxfKfx5fAD3MbC/8VwmPAs4LLGBmnZxza723pwB5EY1SREQajY4dO5YvWbJkMcANN9zQOT09vXzs2LHrA8tUVFTgnCMxMTFoHTNmzGiVkJCw9dBDDy2qh5BrpebxdefKzOxq4C38t+k845xbZGZjgVzn3GzgGjM7BSgDtgAXRzFmERGJkK033JhdunRpWuX17V9/LeQ6Npx4Us/A98k9exa2evihX1yHU5OFCxemnH766fsefvjhBV999VX6rFmzlvXp06dXQUHB1wATJkxo9d5777W45JJLNn/wwQeZubm56ffcc0/nWbNmLQN48cUXW19xxRUtCgoKEp966qnvhw0btivcGCIppLFz59wbwBuV1t0esHwzcHNkQxMRkaZm+fLlvokTJ34/ePDgH0tLS4OWOeGEE3YOGTJk+5lnnrn1wgsv3LZnvXOOBQsW5E2ePDlz7NixnYcNG/ZdvQUehE5Oi4g0YdX0NEO+lqb9668tjVA4ZGdnFw8ePLiwNvueddZZ2wAGDhxYeOuttzaLVEy1pRk8REQkbqSmplbsWU5I+HmKKioqqjZn+Xy+CoDExERXXl4e0sVS0aQEKyIicSkxMZEWLVqUL1iwIKW8vJxZs2a13LMtPT29fMeOHXGdw+I6OBERadruvPPO/JEjR/YYOHDgfp07d/7ppOwFF1yw5aGHHuqUk5PTa+nSpTEfDg7GnIvNfA99+/Z1ubm5MWlbRKShMrN5zrm+dalj/vz5Pxx88MGbqiujmZxCM3/+/LYHH3xw92DbdJGTiIj8QqhJ03y+mgs1URoiFhERiQIlWBERkShQghUREYkCnYMVEZFfKC4tPzglObHGHFFcWl6WkpzYZC9yqo4SrIiI/EJKcmLSgDveqrHcZ3cdrzxSBQ0Ri4hIvUtMTOyTk5PTq0ePHgeMGDFi74KCglrno9deey3jmGOO2Rdg8uTJmbfcckvHqspu2rQp8b777msXbhs33HBD59tvv71DOPsowYqISL1LSUmpWLJkyeLvvvtuUXJysnvooYd+lvQqKiooLy8Pu97zzz9/+7333ruuqu2bN29OfPrpp9vXIuSwqWsvItKE/fmVhdnLNxT84nF1z44+IuQ6Lpnw6c8eV7dP+4zCW087MOTH1Q0aNGjnN998k7p06dJmI0aM6DFw4MCCefPmpc+aNWvZwoULfWPHju1cUlJi3bp1K546deoPmZmZFdOnT29x0003Zbdu3bqsd+/ePz0c4NFHH22Tm5vbfNKkST+uWrUq6dJLL+32448/pgCMHz9+5bhx4zqsWrUqJScnp9fgwYN3PPnkk/m33XZbh5kzZ7YuKSmxE088cdvf/va3NQB/+MMfOk6bNq1t586dS9q0aVN66KGHhvUQAvVgRUQkZkpLS3nrrbda9O7dezfADz/84Lvkkks25+XlLc7IyKi49957O3344YffLl68OO+www4rvPvuuzsUFhba1Vdf3X327NnLvvjii6UbNmxIDlb3mDFjuh511FEFS5cuXbxo0aLFhx12WNFDDz2Un52dXbxkyZLFTz75ZP6MGTNaLFu2zPfNN9/k5eXlLf7666/T5syZk/7RRx+lzZw5s/WCBQsWv/baa8vmz5/fPNzvTT1YEZEmrJqeZsiPq3t29BFhP66uuLg4IScnpxdA//79C6699tpNK1euTO7UqVPJ0KFDdwF88MEHzZcvX+7r169fDkBpaan16dNn59dff+3r0qVLce/evYsBzj///M0TJ078xXnVTz75JGP69OnfAyQlJdGmTZvyTZs2JQaWefPNN1t8+OGHLXr16tULoLCwMGHJkiW+goKChJEjR27LyMioABg+fPi2yvXXRAlWRETq3Z5zsJXXp6Wl/fS4OuccgwYN2vHqq69+H1jmk08+STWLzNPonHNcd911a2+66aafzc08duzY9nVtQ0PEIiISl4YMGbIrNzc3feHChSkABQUFCd98803KIYccUpSfn99s0aJFKQBTp05tHWz/I488suDBBx9sB1BWVsaWLVsSMjMzy3ft2vVT7hsxYsSOF154oe327dsTAL7//vvk1atXJx177LE7X3/99ZY7d+60rVu3Jrzzzjstg7VRHfVgRUQkLnXu3LnsySef/GHUqFF7l5SUGMAdd9yx+qCDDip+7LHHVp500kn7tm7duqx///478/LyUivv/49//OPHiy++uNt+++3XNiEhgfHjx6887rjjdvXp02dnjx49Djj22GO3P/nkk/mLFi3yHX744Tng70FPnjz5+0GDBhWefvrpWw488MADsrKyivv167cz3Pj1uDoRkQakvh5Xp5mcQqPH1YmISFhCTZopyYk1F2qidA5WREQkCpRgRUSanoqKiorIXIbbhHnHsKKq7UqwIiJNz8KNGzdmKsnWXkVFhW3cuDETWFhVGZ2DFRFpYsrKyi5ft27dxHXr1h2IOlq1VQEsLCsru7yqAkqwIiJNTJ8+fTYAp8Q6jsZO/7mIiIhEgRKsiIhIFCjBioiIRIESrIiISBQowYqIiESBEqyIiEgUhJRgzewEM1tqZsvM7I9BtqeY2TRv++dm1j3SgYqIiDQkNSZYM0sEHgdGAL2Ac82sV6VilwFbnXP7An8D7o90oCIiIg1JKD3YfsAy59wK51wJMBU4tVKZU4HnveXpwFCL1OPmRUREGqBQZnLKAlYFvM8H+ldVxjlXZmbbgTbAz543aGajgdHe251mtrQ2QQNtK9cdJ+I1Lojf2BRXeBRXeBpjXN0iGYhETygJNlhPtPJT2kMpg3NuAjAhhDarD8gst64PHI6GeI0L4jc2xRUexRUexSWxFMoQcT6QHfC+C7CmqjJmlgRkAlsiEaCIiEhDFEqC/QLoYWZ7mVkzYBQwu1KZ2cBF3vKZwPvOuV/0YEVERJqKGoeIvXOqVwNvAYnAM865RWY2Fsh1zs0GngZeMLNl+Huuo6IZNBEYZo6SeI0L4jc2xRUexRUexSUxY+poioiIRJ5mchIREYkCJVgREZEoiEmCNbNnzGyDmS0MWHewmX1qZgvM7FUza+Gtb2Zmz3rr55vZkIB9+njrl5nZo8EmtzC/R70y35jZYdGMy8zSzOx1M1tiZovM7L4q2upuZrvN7Gvv9UQ9HK8PvCkv97TZvor2bvaO11IzOz7KxysjIJ6vzWyTmT1Sx+OVbWb/NrM872dwrbe+tZm9Y2bfeV9beeur/IyY2UVe+e/M7KIq2gtab7TiMrNDvGO8yFt/ThXtXWxmGwOO2eX1cLzKA9qrfDHknjIhTa0aweN1TKXPWJGZnVaPxyvH+3kVm9nvK9VV7TS04RwviUPOuXp/AUcDhwELA9Z9AQz2li8F7vaWrwKe9ZbbA/OABO/9XOAI/PfhzgFGBGlrpLfNgAHA59GMC0gDjvHWNwM+qiKu7oHt1NPx+gDoW0NbvYD5QAqwF7AcSIxmXJXqnAccXcfj1Qk4zFvOAL71vq8HgD966/8I3F/dZwRoDazwvrbyllsFaS9ovVGMaz+gh7fcGVgLtAzS3sXA+Po6Xt62nSG091vgCW95FDAt2nEF1Nka/4WYafV4vNoDhwP3AL8PqCcR/+/X3vj/VswHetX2eOkVf6/YNVzpDyawg/9ddJUNLPaWHwcuCCj3Hv7pGzsBSwLWnws8GaSdJ4FzA94vBTpFK64g9Y0DflNTO9E+Xt7yB9ScYG8Gbg54/xZwRH0cL6AH/hnBrK7Hq9K+s4BhgT977/OztLrPSOXPVOVywT5TgfVGK64g9czHS7iV1l9MCAkjknERWoL96TOF/06GTcF+5tE4XvhnkptcRf1ROV4B5e7k5wn2COCtgPc/+92r6/HSK/aveDoHuxA4xVs+i/9NbjEfONXMksxsL6CPty0L/wQXe+R76yoLNtVjsHKRiusnZtYSOBl/MglmLzP7ysz+Y2ZHhRFTXeJ61hv+us0s6HzRMTte+BPaNOf9JQki7OPlDacdCnwOdHDOrQXwvu4ZIq/qew71WFRVb7TiCqynH/7ez/IqmvqVN1w63cwqH+9oxOUzs1wz+yzYMGzl/Z1zZcCeqVWjGdceo4Ap1TQVjeNVlVA/X2EfL4kP8ZRgLwWuMrN5+IddSrz1z+D/4OUCjwCfAGWEOD1jGOUiFZe/Uf+MVlOAR51zK4LUuxbo6pw7FLgBeMm885VRjOt851xv4CjvdWGQemNyvDzV/fEL+3iZWTrwMnCdc25HdUWDrHPVrK+TCMS1p55OwAvAJc65iiBlXwW6O+cOAt7lfw/kiGZcXZ1/CsDzgEfMbJ8w949WXHuOV2/8PcJgonW8ahVvLcpJnAllLuJ64ZxbAgwHMLP9gBO99WXA9XvKmdknwHfAVvzTNu4RbApHCG2qx0jGtccE4Dvn3C8u2PH2LwaKveV5ZrYc/7m13GjF5Zxb7X0tMLOX8A+1T6pUdUyOl5kdDCQ55+ZVUW9Yx8vMkvH/8ZvsnJvhrV5vZp2cc2u9P7Ybavie84EhldZ/EKS5quqNVlx4/1y8DtzqnPssWFvOuc0Bb5+imsdIRiou59yeryvM7AP8vbvKves9++dbDVOrRiouz9nATOdcabC2oni8qhLq71rIx0viS9z0YM27otXMEoBbgSe892lm1txbHgaUOecWe0MwBWY2wBvq/DX+cyGVzQZ+bX4DgO17hnGiEZf3/s/4fwmuq6beduZ/1i5mtjf+84/BeroRicsbmm3rrU8GTsI/nFvZbGCUd+XiXl5cc6MVV8Cu51LN0F04x8v7PDwN5DnnHq70vV3kLV/E/z4vVX1G3gKGm1kr818ROpzgvZ+q6o1KXOafsnQmMMk5969gbXntdQp4ewqQF+W4WplZildnW+BIIPBnHKzeKqdWjeDPcY+aPmPROl5VCWUa2sr1airahiQWJ37xf8jXAqX4/zu7DLgW/9V43wL38b8LZbrjv3ggD/+wTbeAevriTxLLgfEB+4wBxnjLhv8Cm+XAAqq5yCcSceH/L9R567/2Xpd7204BxnrLvwIW4T83+SVwcpTjao7/Ct1vvHbH4V0dHBiX9/5P3vFaSpAroCP9c/S2rwByKq2r7fEa5P0Mvgn4GYzEf97qPfw95/eA1jV9RvAPeS/zXpcErJ+4p1xV9UYrLuAC75h/HfA6xNs2FjjFW/5LwDH7d+XjG4W4Bnrv53tfLwtoIzAuH/Av75jOBfauh59jd2A1la5cr6fj1RH/78cOYJu33MLbNhL/78py4E91OV56xd9LUyWKiIhEQdwMEYuIiDQmSrAiIiJRoAQrIiISBUqwIiIiUaAEKyIiEgVKsCIiIlGgBCsiIhIF/w+JyympJGOOtwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# the percent change over time will be a linear combination of x_1 and x_2\n",
    "yy = np.exp(.5 * x_1 - .25 * x_2)\n",
    "yy /= yy[0]\n",
    "plt.plot(years, yy, 's-', color=dismod_mr.plot.colors[0], mec='w', ms=10, label='Truth')\n",
    "plt.title('Change over time')\n",
    "\n",
    "yy = np.array([dm.predict_for('p', 'all', 'total', y).mean() for y in years])\n",
    "yy /= yy[0]\n",
    "plt.plot(years, yy,\n",
    "     's-', color=dismod_mr.plot.colors[1], mec='w', ms=10, label='Predicted')\n",
    "\n",
    "plt.axis(ymin=0)\n",
    "plt.legend(loc=(1.05,.05));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that including x_year as a covariate when x_1 is already included provides no additional information.  So anything that looks better in this version is actually *overfitting*."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tue Jul 23 13:57:39 PDT 2019\r\n"
     ]
    }
   ],
   "source": [
    "!date"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "dismod_mr",
   "language": "python",
   "name": "dismod_mr"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
